Question

Solve the inequality. Then graph the solutions.
StartAbsoluteValue x plus 1 EndAbsoluteValueless than5
Question content area bottom
Part 1
Select the correct choice below and fill in any answer boxes in your choice.
A.
The solution is xequals
  
enter your response here. ​(Type an integer or a simplified​ fraction.)
B.
The solution is
  
enter your response hereless thanxless than
  
enter your response here. ​(Type integers or simplified​ fractions.)
C.
The solution is xless than
  
enter your response here or xgreater than
  
enter your response here. ​(Type integers or simplified​ fractions.)
D.
The solution is all real numbers.
E.
There is no solution.

Answer 1

|x + 1| < 5

This means -5 < x + 1 < 5. Subtract 1 from all parts:

-6 < x < 4

So choose B: the solution is -6 < x < 4 (interval notation: (-6, 4)).

Graph: a number line with open circles at -6 and 4 and the segment between them shaded.